{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "13ac3199",
   "metadata": {},
   "source": [
    "# 微积分基础"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ae6573e",
   "metadata": {},
   "source": [
    "## 极限\n",
    "\n",
    "极限的概念是数学的一个重要概念。它是指某一函数在某一点附近的趋势，当这个点靠近某一边界时，函数的增长速度变得很慢，而当这个点靠近另一边界时，函数的增长速度变得很快。极限的定义是：如果函数在某一点$x$附近有界，那么在$x$的某一邻域内，函数的增长速度趋于某一常数，这个常数就是函数的极限。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e57c842",
   "metadata": {},
   "source": [
    "## 常见的极限\n",
    "\n",
    "1. 1/x的极限：当x趋向于无穷大时，1/x趋向于0；当x趋向于0时，1/x趋向于无穷大。\n",
    "$$\\lim_{x\\to\\infty} \\frac{1}{x} = 0$$\n",
    "$$\\lim_{x\\to0^+} \\frac{1}{x} = \\infty$$\n",
    "\n",
    "3. 指数的极限：当x趋向于负无穷大时，e的x次方趋向于0；当x趋向于无穷大时，e的x次方趋向于无穷大。\n",
    "$$\\lim_{x\\to-\\infty} a^{x} = 0$$\n",
    "$$\\lim_{x\\to\\infty} a^{x} = \\infty$$\n",
    "\n",
    "4. 对数函数的极限：当x趋向于无穷大时，ln(x)趋向于无穷大；当x趋向于0时，ln(x)趋向于负无穷大。\n",
    "$$\\lim_{x\\to\\infty} \\ln x = \\infty$$\n",
    "$$\\lim_{x\\to0} \\ln x = -\\infty$$\n",
    "\n",
    "4. 正切函数的极限：当x趋向于-PI/2时，正切函数趋向于负无穷大; 当x趋向PI/2时，正切函数趋向于无穷大。\n",
    "$$\\lim_{x\\to-\\frac{\\pi}{2}} \\tan x = -\\infty$$\n",
    "$$\\lim_{x\\to\\frac{\\pi}{2}} \\tan x = \\infty$$\n",
    "\n",
    "5. 反正切函数的极限：当x趋向于负无穷大时，反正切函数趋向于-PI/2；当x趋向于无穷大时，反正切函数趋向于PI/2。\n",
    "- 反正切函数有如下性质：单调递增、连续、奇函数、X无界、Y有界，常用于梯度下降算法。\n",
    "$$\\lim_{x\\to-\\infty} \\tan^{-1} x = -\\frac{\\pi}{2}$$\n",
    "$$\\lim_{x\\to\\infty} \\tan^{-1} x = \\frac{\\pi}{2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "87ba4ab0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eP17q31+aN8+91rChm2bq0UMqVcp3hQCQHgg1QDHMmCHdfrs0dap7XrWq22fGzmfKzPRdHQCkF0INUMRdgO+8U/rnP93zsmWlvn3dkQZ26CQAIPlCtQH7hx9+qG7duqlu3boqUaKExo0b57skpJktW6SBA6Vjj80LNFddJS1cKA0aRKABAJ9CFWq2bt2qE088UUOHDvVdCtJMTo70/PMuzFjj788/uw3zbPrpH/+Q6tf3XSEAIFTTT+eee25wAclkweXmm6Xp093zI490+8+wogkAUkuoQk1hZWdnB1fMpk2bvNaD8O0EPGCANGqUW+FUoYJrAr71VpqAASAVhWr6qbAGDRqkrKysPVd95ghQALt3S8OGSU2auEMnLdDE+mZs2TaBBgBSU6RDzYABA7Rx48Y91wpbsgIcwmefSe3buyXZP/0ktWolffKJ65upW9d3dQCAtJ1+yszMDC7gcCzA2FTTM8+4kZmsLNcQfP31bJ4HAGER6VADHI4FmH/9S7rlFmn1avfa1VdLf/ubVKuW7+oAAJENNVu2bNHixYv3PF+yZInmzJmjqlWrqkGDBl5rQ/gsXSr16SNNmOCeWw+NjdR06uS7MgBA5EPNzJkzdfrpp+95fttttwX3a665RqNHj/ZYGcLWCDxkiHTXXe5E7YwMtzswTcAAEG6hCjWdO3dWrs0XAEX09ddS797StGnuuY3KDB8uNW3quzIAQHFFevUTELNzp/TAA1LLli7QVKzoppomTybQAEBUhGqkBiiKuXNtilL6/HP3/Lzz3OgM2xYBQLQwUoPIst4ZW8XUurULNFWquP1mxo8n0ABAFDFSg0iyRXI2OmMb55muXaVnn5Xq1PFdGQAgURipQaRYH/mIEdKJJ7pAY70zzz0nvf02gQYAoo6RGkTGunXS738vvfmme26r/+3spkaNfFcGAEgGRmoQCZMmSS1auEBTpoz08MPSe+8RaAAgnTBSg1DbscOd2fToo+65Lc9+6SW3dBsAkF4INQitJUukyy+XZsxwz+3wSRuhKV/ed2UAAB8INQil11+XevWSNm50S7VHjZIuvNB3VQAAn+ipQahkZ0s33SRdcokLNKecIs2eTaABABBqECLLlkmnnio99ZR7/uc/S1OmSA0b+q4MAJAKmH5CaFY3/eY30o8/SlWrSs8/7447AAAghpEapLScHHcQZZcuLtC0aeOOPCDQAAD2xUgNUtamTdLVV+dtpmcb6w0ZIpUt67syAEAqItQgJX3zjXTBBdK8eVJmpuujsVADAMDBEGqQcv77X6l7d2n9eqluXWncOKltW99VAQBSHT01SKnDKIcOlc4+2wWa9u2lmTMJNACAgiHUICXs2iX16SPdeKO0e7d01VXSBx9wsjYAoOCYfoJ3mze74w7efVcqUUIaPFj605/cYwAACopQA69WrpTOP1+aM0cqV84dRsnuwACAoiDUwJsvvpC6dnXBpmZNafx4+mcAAEVHTw28eP996Ze/dIHmuOOkTz8l0AAAiodQg6R79VW3I7D10nTuLH38sdSoke+qAABhR6hBUg0fLl12mbRjh3TppdLEiVKVKr6rAgBEAaEGSduD5q9/la6/3j2+7jpp7Fi3WzAAAPFAqEHCWYi59Vbp7rvd84EDpWHDpFKlfFcGAIgSVj8h4ads2+jMiBHu+RNPSDff7LsqAEAUEWqQMLYzsB1COXq020hv5EipZ0/fVQEAoopQg4Qde3D11W4zPZtm+sc/pN/+1ndVAIAoI9Qg7mxlkwWY116TSpd2DcGXXOK7KgBA1BFqEPcRmligychwe9J06+a7KgBAOiDUIK49NNdckxdoxo2Tzj3Xd1UAgHTBkm7EbZXTH/4gvfiim3L6178INACA5CLUIC770Nx0k1vdVLKkaw6+4ALfVQEA0g2hBsUONHfcIT39tFu2bauc7PgDAACSjVCDYnnoIemRR9zjZ5+VevTwXREAIF0RalBktqlev37u8aOPSr17+64IAJDOCDUoknfecbsFmz//2Z3tBACAT4QaFNq0aVL37nlLuB980HdFAAAQalBI8+dL558vbd8unXee66OxBmEAAHwj1KDA1q2TunaV1q+X2reXXnlFKlPGd1UAADiEGhRIdrZ08cXSt99KjRtLb78tVajguyoAAPIQalCgvWiuu06aOlWqVEkaP16qUcN3VQAA5EeowWH97W/SmDFut2CbcmrWzHdFAADsj1CDQ3r9dal/f/f4ySelLl18VwQAwIERanBQc+dKV13lHvfp4y4AAFIVoQYHtHGjawzetk0680zp8cd9VwQAwKERanDAxuCePaVFi6QGDdyp26VL+64KAIBDI9TggI3B48ZJGRnSq69K1av7rggAgMMj1CCf99+X7rzTPR4yRGrb1ndFAAAUDKEGe6xYIV1xhZSTI/3ud9K11/quCACAgiPUILBrl/Sb37ijEFq1koYO5UwnAEC4EGoQeOAB6eOPpYoVXR9NuXK+KwIAoHAINdAnn0h/+Yt7PGyYdOSRvisCAKDwirxQd8mSJZo6daqWLVumbdu2qUaNGmrVqpVOOeUUlS1btqg/Fh72o+nRQ9q9W7rySvcYAIC0CDUvvPCCnnjiCc2cOVO1atVS3bp1Va5cOa1fv17ffPNNEGh69Oihfv36qWHDhompGnFzww3S0qXu5G3rowEAIC1CjY3EZGRkqGfPnnrttddUv379fF/Pzs7WtGnTNHbsWLVp00ZPP/20unfvHu+aESf//Kf04otSqVIWVt0J3AAApEWoefDBB9XlECcaZmZmqnPnzsF1//33a6kNASAlLVvmRmnMPfdIp5ziuyIAAJIYag4VaPZVrVq14EJqHoNge9Bs3ix17Ji32R4AAGm5+mn06NEHfH3Xrl0aMGBAcWpCgtl/ukmTJOvnHjnSTT8BAJC2oebmm28O+mU2bNiw57UFCxaoffv2eslOQERKWrVKuvVW99iWcR97rO+KAADwHGpmz56t7777Ti1atNCkSZM0dOhQnXTSSWratKm++OILJYr9Po0aNQpWWVmA+uyzzxL2e0Vx2umPf3TLuO1Mp1i4AQAgrfepOeqoo/Txxx+rb9++Ouecc1SqVCmNGTNGv7G99hPk5Zdf1m233abhw4cHgebxxx8P+nxshKhmzZoJ+32jYuxY6e23pTJl3LRT6SL/1wcAIPUU62PtnXfeCZZv24Z7Cxcu1HPPPadOnToFe9ckwqOPPqprr71Wv7PTFqUg3FgNI0eOVP/+/Qv8c6zvx66i2PvXFfVn+GBnOv3pT7ZCTbrrLqlpU3feEwAAqa6gn7dFDjXXXXddMDJjS7dt9OSHH35Qr169gumoYcOG6bLLLlM87dixQ7NmzcrXhFyyZEmdeeaZwd44B2L75tgVs2nTpuD+1ltvqXz58sWuyX5OmDz2WN7j11/3WQkAAAVnJxcktKfGpp4+/fRT3X777SpRooRq166tCRMm6C9/+UsQbuJt3bp12r17d7CL8d7s+erVqw/4awYNGqSsrKw9176bBQIAgOgo8kiNjZrYZnv76tOnTzB6kgpsVMdGkfYeqbFgc8EFF6hSEbfPtSGw2AiN/ZzSKd6YYiN2thfNV19JvXtLTzzhuyIAAAonNtNyOEX+RD5QoIlp0qSJ4q169epBM7JNc+3Nntso0cFqPFCdFkTiEUbi9XMSyU7d/vxzqWpVt4Q7xcsFAGA/Bf2sLdT0k61ymj59+mG/b/PmzRo8eHCw/Dpe7Myp1q1b6/3339/zWk5OTvDcGpWxvzVrpIED3eP777ddnn1XBABA4hTq3+222d4ll1wS9Kd069YtOLTSVjrZnjG2Cd+8efP00UcfBb01Xbt21UMPPRTXYm0q6Zprrgl+33bt2gVLurdu3bpnNRTys+MPbE+aVq3csQgAAERZoUJN7969deWVV+pf//pXsGfMiBEjtNE+NaWgWbhZs2bBvjEzZszQcccdF/diL7/8cq1du1Z333130BzcsmVLTZw4cb/mYUi2J+Fzz7nHTz3FUQgAgOgrkZtr+8wWnYWa7du3B4dXlrFd3VK80chGmazm4jQKv/5/66EvvvjilOypycmRTj5ZmjFDuvpqacwY3xUBAJD4z+9ifyLHlksjdbzwggs0FStKgwf7rgYAgOQoVqhZtGiRJk+erDVr1gRNu3uzKSIk344d9t7n9dQcZGEYAACRU+RQ8+yzz+r6668PllrbkmrrqYmxx4QaP0aMkJYulerUsZPUfVcDAEAIQs19990XHJHQr1+/+FaEItuyRfrrX91jy5RxOAkCAIDQKPIxCbaE25Z4I3U8/rjbm+aoo9zuwQAApJMihxoLNP/5z3/iWw2K7Mcfpdi2QPfdJ6X4QjQAAFJn+unoo4/WwIEDgx2G7WTufZdz30xDR1I9+KAteZNatpTifEA6AADR3qemcePGB/+hJUro22+/VaqJ6j41331nIVPKzpYmTJDOPdd3RQAAhGifmiVLlhT1lyLO7KBKCzSnnWbnc/muBgAAP0oX9uylgrCRmkceeaSoNaGQozSjR7vHDzxg773vigAACEGomT17doG+b+89a5BYjz0m7dwpde4sdezouxoAAEISamz3YKSO9eulZ55xj/v3910NAAAhXdIN/4YOlbZudSuezj7bdzUAAPhFqAmpbdukJ590j21TZ2b8AADpjlATUiNHSuvW2dJ66dJLfVcDAIB/hJoQssbghx92j++4Q0qBrXIAAPCOUBNCL78sLVsm1awp9ezpuxoAAFIDoSZkbP/nwYPd41tukcqV810RAACpgVATMhMnSnPnShUrSjfc4LsaAABSB6EmZJ5+2t1//3upcmXf1QAAkDoINSGyfLk7sNJcd53vagAASC2EmhD5+9+lnBzpV7+SmjTxXQ0AAKmFUBOiZdwWagyjNAAA7I9QExJvvy19/71bxn3RRb6rAQAg9RBqQiJ2cGXv3lJGhu9qAABIPYSaEPjmG+k//3HnO117re9qAABITYSaEBgxwt27dHFnPQEAgP0RalJcdrY0apR7TIMwAAAHR6hJcW+8Ia1dK9WtK51/vu9qAABIXYSaFDd8uLtbLw2ncQMAcHCEmhTfQXjKFNcgbKueAADAwRFqUtgrr7j7aadJ9ev7rgYAgNRGqElhY8e6+xVX+K4EAIDUR6hJUYsXS7NmSaVKSZdc4rsaAABSH6EmRb38srufcYZUo4bvagAASH2EmhTF1BMAAIVDqElBX30lzZ0rlSkj/frXvqsBACAcCDUpPPV0zjlS5cq+qwEAIBwINSkmN5epJwAAioJQk2LmzJEWLZLKlZMuuMB3NQAAhAehJsXERmm6dpWOOMJ3NQAAhAehJsWmnmL9NEw9AQBQOISaFPLpp9KyZW6E5rzzfFcDAEC4EGpSyGuvufuFF7qeGgAAUHCEmhQycaK7d+vmuxIAAMKHUJMiVq50G+6VLCmdeabvagAACB9CTYr497/dvW1bqVo139UAABA+hJoUm3qyXYQBAEDhEWpSwK5d0nvvucdduviuBgCAcCLUpIAZM6QNG6QqVdz0EwAAKDxCTQr101iDcOnSvqsBACCcCDUpgH4aAACKj1Dj2Y8/Sp995h7TTwMAQNERajyzBmE786l5c+kXv/BdDQAA4UWo8YypJwAA4oNQ45GN0MSahJl6AgCgeAg1Hn35pfT991L58tKpp/quBgCAcCPUpMDUU+fOUtmyvqsBACDcCDUexaae6KcBAKD4CDWebNsmTZ3qHhNqAAAoPkKNJ7NmSTt3SnXqSEcf7bsaAADCj1DjyfTp7n7yyVKJEr6rAQAg/EITau6//3516NBB5cuXV+XKlRV2n36aF2oAAEAahZodO3aoe/fuuv766xWlkZr27X1XAgBANITmTOh77703uI8ePVph99130sqVUsmSUps2vqsBACAaQhNqiiI7Ozu4YjZt2qRUmnpq0UKqUMF3NQAARENopp+KYtCgQcrKytpz1a9fX6mAfhoAACIWavr3768SJUoc8po/f36Rf/6AAQO0cePGPdeKFSuUaiufAABABKafbr/9dvXs2fOQ33PkkUcW+ednZmYGVyqxvWlmznSPaRIGACAioaZGjRrBlU7mzpW2b5eysqQmTXxXAwBAdISmUXj58uVav359cN+9e7fmzJkTvH700UfriCOOUFjEpp7atXOrnwAAQJqFmrvvvltjxozZ87xVq1bBffLkyepsx1yHBE3CAAAkRmjGCmx/mtzc3P2uMAUaw6Z7AACkeaiJgg0bpAUL3GNCDQAA8UWoSaLPPnP3o46Sqlf3XQ0AANFCqEki9qcBACBxCDVJRJMwAACJQ6hJktzcvFBDPw0AAPFHqEmSxYul9ettl2PpxBN9VwMAQPQQapLcT3PSSVJGhu9qAACIHkJNklc+MfUEAEBiEGqSZN48d2/Z0nclAABEE6EmSebPd3cOsQQAIDEINUmwebO0apV7TKgBACAxCDVJsHChu9esKVWp4rsaAACiiVCTBEw9AQCQeISaJIgdYtm0qe9KAACILkJNEjBSAwBA4hFqkjhSQ6gBACBxCDUJlpOT1yjM9BMAAIlDqEmw5culn3+WypSRGjXyXQ0AANFFqEnS1NMxx0ilS/uuBgCA6CLUJBhNwgAAJAehJsFoEgYAIDkINQnGHjUAACQHoSbBmH4CACA5CDUJxEGWAAAkD6EmCVNPHGQJAEDiEWoSiCZhAACSh1CTQDQJAwCQPISaBKJJGACA5CHUJBAjNQAAJA+hJgkHWTJSAwBA4hFqEoSDLAEASC5CTYJwkCUAAMlFqEkQmoQBAEguQk2C0CQMAEByEWoShJEaAACSi1CTIOwmDABAchFqEoCDLAEASD5CTQJ8+627V6/OQZYAACQLoSYBfvjB3evU8V0JAADpg1CTwFBTq5bvSgAASB+EmgRYvdrdCTUAACQPoSYBGKkBACD5CDUJQKgBACD5CDUJQKgBACD5CDUJQKgBACD5CDUJQKgBACD5CDVxtnu3tHate0yoAQAgeQg1cfbjj1JOjntco4bvagAASB+EmgRNPVWrJpUp47saAADSB6EmzuinAQDAD0JNgkJN7dq+KwEAIL0QauKMkRoAAPwg1MQZoQYAAD8INXFGqAEAwA9CTZwRagAA8INQE2eEGgAA/CDUxNnq1e5OqAEAILkINXFkOwmvWeMeE2oAAEguQk0crV/vzn4yNWv6rgYAgPRCqElAP02VKlJGhu9qAABIL4SaOKJJGAAAfwg1cUSoAQDAn1CEmqVLl6p3795q3LixypUrp6OOOkr33HOPduzYoVRCqAEAwJ/SCoH58+crJydHzzzzjI4++mjNnTtX1157rbZu3aqHH35YqYJQAwCAP6EINeecc05wxRx55JFasGCBhg0blpKhhhO6AQBIvlCEmgPZuHGjqlatesjvyc7ODq6YTZs2JbQmRmoAAPAnFD01+1q8eLGGDBmi66677pDfN2jQIGVlZe256tevn9C6CDUAAKRpqOnfv79KlChxyMv6afa2cuXKYCqqe/fuQV/NoQwYMCAY0YldK1asSOj/P4QaAADSdPrp9ttvV8+ePQ/5PdY/E7Nq1Sqdfvrp6tChg0aMGHHYn5+ZmRlcyZCbyxEJAACkbaipUaNGcBWEjdBYoGndurVGjRqlkiVTa+bsp5+k2ApzjkgAACD5QtEobIGmc+fOatiwYbDaae3atXu+VjtFlhrFpp6ysqSyZX1XAwBA+glFqJk0aVLQHGxXvXr18n0t1+Z9UgD9NAAA+BWKUGN9N4frvfFt9Wp3J9QAQHqyf2Tv2rVLu3fv9l1K6JQqVUqlS5cOFghFPtSEASM1AJC+7Nie77//Xtu2bfNdSmiVL19ederUUUZGRpF/BqEmTgg1AJCe7BifJUuWBKMNdevWDT6UizvikG4jXDt27Aj6Ze19POaYY4q8GIhQEyeEGgBIT/aBbMHGNni10QYUnh1WXaZMGS1btix4P8sWccVNaq2LDjFCDQCkt1TbaiQd3z/+C8QJoQYAAL8INXHCCd0AAPhFqIkD2yqHkRoAAPwi1MTBpk1SdrZ7TKgBAIRF586d1bdv30L9mueee05nn312gb9/4sSJatmyZdBMnWiEmjiIjdJUrGgd3L6rAQAgMX7++WcNHDhQ99xzT4F/zTnnnBOsbHrhhReUaCzpjgOmngAA+7Yl+NiHr3x5KZFb5Lz66quqVKmSOnbsWKhfZ6cCPPnkk7rqqquUSIzUxAGhBgCwNws0RxyR/GtbMYJUo0aN9MADD6hXr16qWLGiGjRooBEjRuT7nrFjx6pbt275Rm6OP/54/eEPf9jz2jfffBP8+pEjR+55zX7NzJkzg68lEqEmDgg1AIAoeOSRR9SmTRvNnj1bN9xwg66//notWLBgz9c/+uij4OsxtkmeTSuNGTNGb775ZnDu1ZVXXqmzzjorCEcxFpBq1aqlqVOnJrR+pp/igFADANh3GmjLFj+/b3Gcd955QZgx/fr102OPPabJkyerSZMm+umnn7Rx48bgKIi9WRPwfffdp9///ve64oorgl2Bx48fv9/Ptl9nX0skQk0cEGoAAHuzvpYKFRQ6J5xwwp7Hdn5V7dq1tWbNmuD59u3bg/uBjjC4/fbbNW7cOD311FN69913Va1atQMehZDoAz+ZfooDQg0AIArKlCmT77kFm9hSbAsq9nzDhg37/ToLPgsXLgwO9Vy0aNEBf/b69etVo0YNJRKhJg5275ZKlybUAACiKyMjQ82aNdO8efP2+5r1z7Ro0SLorbFpq6+//jrf162h2JqEW7VqldAamX6Kg7fftqPn3RI+AACiqkuXLkGz8N4b9g0dOlTTpk3T//73v+Ck8nfeeUc9evTQ9OnTgyBk7HFmZqZOOeWUhNbHSE2c2OGipUr5rgIAgMTp3bu3JkyYEDQMm/nz5+uOO+7Q008/HQQaY4/XrVsXbNIX89JLLwVBp3xxO5kPg5EaAADS1AcffLDn8dKlS/f7+pw5c/I9t+mnrl27BsFlwIABatq06X7Nv5UrV9by5cv3PLeAY5v22T41icZIDQAAKLCHHnpIR9hOfwVkYclCUOPGjZVojNQAAIBC7Tx80003Ffj7bbO+vTfsSyRGagAAQCQQagAAiINclsB6f/8INQAAxGHDukTvlht12/7v/dt3A8DCoKcGAIBisF10bcVP7DgBW7ZsO++i4CM0Fmjs/bP30d7PoiLUAABQTHZGkokFGxSeBZrY+1hUhBoAAIrJRmbq1KmjmjVraufOnb7LCR2bcirOCE0MoQYAgDixD+Z4fDijaGgUBgAAkUCoAQAAkUCoAQAAkVA6HTf22bRpU5F/xq5du/aspbefU7p0Wr2FAAAkXexz+3Ab9KXVJ/LmzZuDe+x4dAAAEK7P8aysrIN+vURuGu3rnJOTo1WrVqlixYrF2hjJEqMFoxUrVqhSpUpxrRH58V4nD+918vBeJw/vdTTea4sqFmjq1q2rkiUP3jmTViM19kbUq1cvbj/P/qPxP5Lk4L1OHt7r5OG9Th7e6/C/14caoYmhURgAAEQCoQYAAEQCoaYIMjMzdc899wR3JBbvdfLwXicP73Xy8F6n13udVo3CAAAguhipAQAAkUCoAQAAkUCoAQAAkUCoAQAAkUCoKaShQ4eqUaNGKlu2rNq3b6/PPvvMd0mRM2jQILVt2zbY+blmzZq66KKLtGDBAt9lpYUHH3ww2G27b9++vkuJrJUrV+rKK69UtWrVVK5cObVo0UIzZ870XVbk7N69WwMHDlTjxo2D9/moo47SX//618OeHYTD+/DDD9WtW7dgd1/7+2LcuHH5vm7v8d133606deoE7/2ZZ56pRYsWKRkINYXw8ssv67bbbguWrH3++ec68cQT1aVLF61Zs8Z3aZEyZcoU9enTR9OnT9ekSZO0c+dOnX322dq6davv0iJtxowZeuaZZ3TCCSf4LiWyNmzYoI4dO6pMmTJ69913NW/ePD3yyCOqUqWK79IiZ/DgwRo2bJieeuopff3118Hzv/3tbxoyZIjv0kJv69atweef/SP/QOx9fvLJJzV8+HB9+umnqlChQvBZ+fPPPye+OFvSjYJp165dbp8+ffY83717d27dunVzBw0a5LWuqFuzZo390yp3ypQpvkuJrM2bN+cec8wxuZMmTcrt1KlT7i233OK7pEjq169f7qmnnuq7jLTQtWvX3F69euV77eKLL87t0aOHt5qiSFLuG2+8sed5Tk5Obu3atXMfeuihPa/99NNPuZmZmbkvvfRSwuthpKaAduzYoVmzZgXDaHufJWXPp02b5rW2qNu4cWNwr1q1qu9SIstGxrp27Zrvzzfi76233lKbNm3UvXv3YGq1VatWevbZZ32XFUkdOnTQ+++/r4ULFwbPv/jiC3300Uc699xzfZcWaUuWLNHq1avz/V1iZzZZu0YyPivT6kDL4li3bl0wR1urVq18r9vz+fPne6srHU5Wt/4OG7Jv3ry573IiaezYscF0qk0/IbG+/fbbYErEprHvvPPO4D2/+eablZGRoWuuucZ3eZHSv3//4NTopk2bqlSpUsHf3/fff7969Ojhu7RIW716dXA/0Gdl7GuJRKhByo8gzJ07N/gXFuJvxYoVuuWWW4LeJWt+R+JDuo3UPPDAA8FzG6mxP9/We0Coia9XXnlFL7zwgl588UUdf/zxmjNnTvAPJGtu5b2OLqafCqh69epB2v/hhx/yvW7Pa9eu7a2uKLvxxhs1fvx4TZ48WfXq1fNdTiTZlKo1up900kkqXbp0cFmjtjX52WP71y3ix1aDNGvWLN9rxx13nJYvX+6tpqi64447gtGaK664IlhhdtVVV+nWW28NVlcicWKfh74+Kwk1BWTDw61btw7maPf+V5c9P+WUU7zWFjXWe2aB5o033tB///vfYEkmEuOMM87Ql19+GfwrNnbZSIIN0dtjC/KIH5tG3Xd7Auv5aNiwobeaomrbtm1B3+Pe7M+z/b2NxLG/ry287P1ZadOAtgoqGZ+VTD8Vgs2D27Cl/aXfrl07Pf7448HStt/97ne+S4vclJMNGb/55pvBXjWxeVhrNrM9DxA/9v7u26tkyy9tDxV6mOLPRgqsgdWmny677LJgn6sRI0YEF+LL9lGxHpoGDRoE00+zZ8/Wo48+ql69evkuLfS2bNmixYsX52sOtn8E2WIOe79tmu++++7TMcccE4Qc2y/Ipv1sz7GES/j6qogZMmRIboMGDXIzMjKCJd7Tp0/3XVLk2B/LA12jRo3yXVpaYEl3Yr399tu5zZs3D5a4Nm3aNHfEiBG+S4qkTZs2BX+O7e/rsmXL5h555JG5d911V252drbv0kJv8uTJB/w7+pprrtmzrHvgwIG5tWrVCv6cn3HGGbkLFixISm0l7P8kPjoBAAAkFj01AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AAAgEgg1AEJr7dq1ql27dnDqdcwnn3yijIwMvf/++15rA5B8HGgJINQmTJigiy66KAgzTZo0UcuWLXXhhRfq0Ucf9V0agCQj1AAIvT59+ui9995TmzZt9OWXX2rGjBnKzMz0XRaAJCPUAAi97du3q3nz5lqxYoVmzZqlFi1a+C4JgAf01AAIvW+++UarVq1STk6Oli5d6rscAJ4wUgMg1Hbs2KF27doFvTTWU/P4448HU1A1a9b0XRqAJCPUAAi1O+64Q6+++qq++OILHXHEEerUqZOysrI0fvx436UBSDKmnwCE1gcffBCMzDz//POqVKmSSpYsGTyeOnWqhg0b5rs8AEnGSA0AAIgERmoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAEAkEGoAAICi4P8DOPVDOSYYe9wAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "ename": "",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m在当前单元格或上一个单元格中执行代码时 Kernel 崩溃。\n",
      "\u001b[1;31m请查看单元格中的代码，以确定故障的可能原因。\n",
      "\u001b[1;31m单击<a href='https://aka.ms/vscodeJupyterKernelCrash'>此处</a>了解详细信息。\n",
      "\u001b[1;31m有关更多详细信息，请查看 Jupyter <a href='command:jupyter.viewOutput'>log</a>。"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 绘制图像\n",
    "def plot_f(min, max, n, f, label, color='blue'):\n",
    "\tx_range =np.linspace(min, max, n)\n",
    "\tplt.plot(x_range, f(x_range), label=label, color=color)\n",
    "\n",
    "# 显示图像\n",
    "def show_plot(fun_name):\n",
    "\tplt.axhline(0, color='darkgray')\n",
    "\tplt.axvline(0, color='darkgray')\n",
    "\tplt.legend([fun_name])\n",
    "\tplt.xlabel('x')\n",
    "\tplt.ylabel(fun_name)\n",
    "\tplt.show()\n",
    "\n",
    "# 反比例函数\n",
    "def f_inverse(x):\n",
    "  return 1/x\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2, -0.1, 100, f_inverse, '1/x')\n",
    "plot_f(0.1, 2, 1000, f_inverse, '1/x')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('1/x')\n",
    "\n",
    "# e指数函数\n",
    "def f_exp(x):\n",
    "  return np.exp(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2, 2, 100, f_exp, 'e^x')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('e^x')\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n",
    "\n",
    "#  对数函数\n",
    "def f_log(x):\n",
    "  return np.log(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(0.1, 10, 100, f_log, 'ln(x)')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('ln(x)')\n",
    "\n",
    "# 正切函数\n",
    "def f_tan(x):\n",
    "  return np.tan(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-3*np.pi/2+0.1, -np.pi/2-0.1, 100, f_tan, 'tan(x)')\n",
    "plot_f(-np.pi/2+0.1, np.pi/2-0.1, 100, f_tan, 'tan(x)')\n",
    "plot_f(np.pi/2+0.1, 3*np.pi/2-0.1, 100, f_tan, 'tan(x)')\n",
    "plt.axvline(-np.pi/2, color='black')\n",
    "plt.axvline(np.pi/2, color='black')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('tan(x)')\n",
    "\n",
    "# 反正切函数\n",
    "def f_atan(x):\n",
    "  return np.arctan(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2, 2, 100, f_atan, 'arctan(x)')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('arctan(x)')\n",
    "\n",
    "# 正弦函数\n",
    "def f_sin(x):\n",
    "  return np.sin(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2*np.pi, 2*np.pi, 100, f_sin,'sin(x)')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('sin(x)')\n",
    "\n",
    "# 余弦函数\n",
    "def f_cos(x):\n",
    "  return np.cos(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2*np.pi, 2*np.pi, 100, f_cos, 'cos(x)')\n",
    "\n",
    "# 绘制图像\n",
    "show_plot('cos(x)')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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